To determine if y varies directly with x, we need to check if the ratio of y to x remains constant.
For the given data, we can calculate the ratio of y to x for each pair of values:
- For x=2, y=10, ratio of y to x is 10/2 = 5
- For x=4, y=24, ratio of y to x is 24/4 = 6
- For x=6, y=36, ratio of y to x is 36/6 = 6
Since the ratios are not constant, y does not vary directly with x. So the answer is:
d. no; y does not vary directly with x.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x y
2 10
4 24
6 36
(1 point)
Responses
a. yes; y = 2x
b. yes; y = 5x
c. yes; y = 7x
d. no; y does not vary directly with x.
1 answer